A connection between structured uncertainty and decentralized control of spatially invariant systems

J. S. Shamma

doi:10.1109/acc.2001.946399

A connection between structured uncertainty and decentralized control of spatially invariant systems

J. S. Shamma^*

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

7 Scopus citations

Abstract

This paper considers the decentralized control of spatially invariant systems, i.e., systems of homogeneous interacting components. The main idea is for individual components to model interactions with neighbors as disturbances that satisfy certain magnitude bounds while simultaneously self-imposing symmetric magnitude bounds. These magnitude bounds can be interpreted as negotiated levels of interaction among components. It turns out that this approach is equivalent to constructing a feedback that is robust stabilizing with structured uncertainties.

Original language	English (US)
Pages (from-to)	3117-3121
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	4
DOIs	https://doi.org/10.1109/acc.2001.946399
State	Published - 2001
Externally published	Yes
Event	2001 American Control Conference - Arlington, VA, United States Duration: Jun 25 2001 → Jun 27 2001

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/acc.2001.946399

Cite this

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title = "A connection between structured uncertainty and decentralized control of spatially invariant systems",

abstract = "This paper considers the decentralized control of spatially invariant systems, i.e., systems of homogeneous interacting components. The main idea is for individual components to model interactions with neighbors as disturbances that satisfy certain magnitude bounds while simultaneously self-imposing symmetric magnitude bounds. These magnitude bounds can be interpreted as negotiated levels of interaction among components. It turns out that this approach is equivalent to constructing a feedback that is robust stabilizing with structured uncertainties.",

author = "Shamma, {J. S.}",

year = "2001",

doi = "10.1109/acc.2001.946399",

language = "English (US)",

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journal = "Proceedings of the American Control Conference",

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note = "2001 American Control Conference ; Conference date: 25-06-2001 Through 27-06-2001",

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AB - This paper considers the decentralized control of spatially invariant systems, i.e., systems of homogeneous interacting components. The main idea is for individual components to model interactions with neighbors as disturbances that satisfy certain magnitude bounds while simultaneously self-imposing symmetric magnitude bounds. These magnitude bounds can be interpreted as negotiated levels of interaction among components. It turns out that this approach is equivalent to constructing a feedback that is robust stabilizing with structured uncertainties.

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U2 - 10.1109/acc.2001.946399

DO - 10.1109/acc.2001.946399

M3 - Conference article

AN - SCOPUS:0034854432

SN - 0743-1619

VL - 4

SP - 3117

EP - 3121

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - 2001 American Control Conference

Y2 - 25 June 2001 through 27 June 2001

ER -

A connection between structured uncertainty and decentralized control of spatially invariant systems

Abstract

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